Daniele Puglisi

Department of Mathematics and Computer Sciences
University of Catania
Viale Andrea Doria, 6
I-95125 Catania CT

Office: 346
Office phone: ++39 095 7383055
Fax: ++39 095 330094

E-mail: dpuglisiunict.it

Research

In

• T. Oikhberg, A. M. Peralta, D. Puglisi; Automatic Continuity of L-Norms on the Predual of a Von Neumann Algebra. Rev. Mat. Complutense 26, (2013), 57-88.

among others things, as special case, the authors proved that every complete L-norm on a L_1 space is equivalent to its original norm.

Questions

• Does every complete M-norm on a C[0,1] is equivalent to its original norm?
• What about in a generic C*-algebra?

Comments

See also the papers

• T. Oikhberg, A.M. Peralta, M. Ramírez; Automatic continuity of M-norms on C*-algebras. J. Math. Anal. Appl. 381 (2011), no. 2, 799–811.
• Oikhberg, Timur; Peralta, Antonio M.; Automatic continuity of orthogonality preservers on a non-commutative Lp(\tau) space. J. Funct. Anal. 264 (2013), no. 8, 1848–1872.

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